A small airplane leaves an airport on an overcast day and is later sighted 215 km away, in a direction making an angle of 22° east of due north. This means that the direction is not due north (directly toward the north) but is rotated 22° toward the east from due north. How far east and north is the airplane from the airport when sighted?

A small airplane leaves an airport on an overcast day and is later sighted 215 km away, in a direction making an angle of 22° east of due north. This means that the direction is not due north (directly toward the north) but is rotated 22° toward the east from due north. How far east and north is the airplane from the airport when sighted?

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 42AP: You are working as an assistant to an air-traffic controller at the local airport, from which small...

See similar textbooks

Similar questions

You are working as an assistant to an air-traffic controller at the local airport, from which small airplanes take off and land. Your job is to make sure that airplanes are not closer to each other than a minimum safe separation distance of 2.00 km. You observe two small aircraft on your radar screen, out over the ocean surface. The first is at altitude 800 m above the surface, horizontal distance 19.2 km. and 25.0 south of west. The second aircraft is at altitude 1 100 m, horizontal distance 17.6 km, and 20.0 south of west. Your supervisor is concerned that the two aircraft are too close together and asks for a separatism distance for the two airplanes. (Place the x axis west, the y axis south, and the z axis vertical.)
A pilot flies with a plane 20 km northward with an angle of 60 east ➚ , then 30 km to the east ⮕ , then 10 to the north ⬆ , what is its distance from the start and what is its direction
AN airplane is flying is a constant altitude of 22000 meters. When first seen to the east of an observer, the angle of elevation of the airplane is 64.7 degrees. After 36 seconds, the angle of elevation to the airplane is 52.2 degrees. what distance has the plan traveled?
As it passes Grand Bahamas Islands, the eye of the hurricane Katrina is moving in a direction of 60 0 north of west at a speed of 50 kph. Three hours later, it shifts due north where its speed slows to 25 kph. How far from the Grand Bahamas is the eye of the hurricane 4.5 hrs. after it passes over the island?
Starting in Albany, you travel a distance 390 miles in a direction 13.9 degrees north of west. Then, from this new position, you travel another distance 484 miles in a direction 38.2 degrees north of east. In your final position, what is your displacement from Albany? 874 miles 52.1 degrees North of West 252 miles 24.5 degrees North of West 874 miles 52.1 degrees North of East 393 miles 89.7 degrees North of West
A small, experimental aluminum airplane leaves its classified location on a fogsy and overcast day, and is later acidentally sighted 215 km away, moving in a direction making an angle of 22° east of due north. This means that the direction is not due north (directly toward the north) but is rotated 22° toward the east from due north. How far east and north is the airplane from its classified staring point when it is sighted? please include the procedure.
You are standing 10 feet away from a tree, and you measure the angle of elevation to be 65∘. How tall is the tree? Assume you are 5 feet tall up to your eyes.
Starting in Albany, you travel a distance 406 miles in a direction 14.9 degrees north of west. Then, from this new position, you travel another distance 444 miles in a direction 21.5 degrees north of east. In your final position, what is your displacement from Albany? 268 miles 85.6 degrees North of West 850 miles 36.4 degrees North of East 848 miles 54.6 degrees North of West 850 miles 36.4 degrees North of West
Find the order of magnitude of the following physical quantities. (a) The mass of Earth’s atmosphere: 5.1 × 1018 kg; (b) The mass of the Moon’s atmosphere: 25,000 kg; (c) The mass of Earth’s hydrosphere: 1.4 × 1021 kg; (d) The mass of Earth: 5.97 × 1024 kg; (e) The mass of the Moon: 7.34 × 1022 kg; (f) The Earth–Moon distance (semimajor axis): 3.84 × 108 m; (g) The mean Earth–Sun distance: 1.5 × 1011 m; (h) The equatorial radius of Earth: 6.38 × 106 m; (i) The mass of an electron: 9.11 × 10−31 kg; (j) The mass of a proton: 1.67 × 10−27 kg; (k) The mass of the Sun: 1.99 × 1030 kg.
After enjoying a big sandwich at Katz's Delicatessen, you decide to walk back to your luxury suite at the Waldorf-Astoria Hotel. First, you perambulate 0.15 mi at a polar angle of 160 degrees 0.15 mi angle 160^ ) . Next, you skedaddle 1.60 mi at a polar angle of 55 degrees (1.60 mi angle55^ ) . You follow this with a 0.55 mi jaunt at a polar angle of 150 degrees (0.55 mi angle150^ ) Finally, you be-bop 0.82 mi at a polar angle of 60 degrees (0.82 mi angle 60^ ) . What is the overall displacement from your starting point at Katz's Delicatessen? Express your answer in polar notation.
A ship is sailing due north. At a certain point, the bearing of a lighthouse 8.5km away is N^(38).5\deg E. Later on, the captain notices that the bearing of the lighthouse has become $34.2\deg E. How far did the ship travel between the two
Starting in Albany, you travel a distance 108 miles in a direction 12.0 degrees north of west. Then, from this new position, you travel another distance 123 miles in a direction 44.8 degrees north of east. In your final position, what is your displacement from Albany? 643 miles 51.3 degrees North of East 231 miles 56.8 degrees North of East 111 miles 80.4 degrees North of East 231 miles 56.8 degrees North of West